It has a zero of multiplicity 3 at x=12 and another zero at x=-3. It contains the point (1,8). Given the information about a polynomial function, what is the function?

A) f(x) = (x - 12)^3(x + 3)
B) f(x) = (x - 12)(x + 3)
C) f(x) = (x - 12)^2(x + 3)
D) f(x) = (x - 12)(x + 3)^2